scholarly journals On solving the nonlinear Schrdinger-Boussinesq equation and the hyperbolic Schrdinger equation by using the (Gfrasl;G,1frasl;G) -expansion method

2014 ◽  
Vol 9 (19) ◽  
pp. 415-429 ◽  
Author(s):  
M. E. Zayed E. ◽  
A. E. Alurrfi K.
Keyword(s):  
Boussinesq Equation ◽  
Expansion Method

scholarly journals Regarding New Wave Patterns of the Newly Extended Nonlinear (2+1)-Dimensional Boussinesq Equation with Fourth Order

Mathematics ◽  
2020 ◽  
Vol 8 (3) ◽  
pp. 341 ◽  
Author(s):  
Juan Luis García Guirao ◽  
Haci Mehmet Baskonus ◽  
Ajay Kumar
Keyword(s):  
Fourth Order ◽  
Boussinesq Equation ◽  
Soliton Solutions ◽  
Expansion Method ◽  
Bright Soliton ◽  
New Wave ◽  
Wave Patterns

This paper applies the sine-Gordon expansion method to the extended nonlinear (2+1)-dimensional Boussinesq equation. Many new dark, complex and mixed dark-bright soliton solutions of the governing model are derived. Moreover, for better understanding of the results, 2D, 3D and contour graphs under the strain conditions and the suitable values of parameters are also plotted.

scholarly journals Complex Patterns to the (3+1)-Dimensional B-type Kadomtsev-Petviashvili-Boussinesq Equation

Symmetry ◽  
2019 ◽  
Vol 12 (1) ◽  
pp. 17 ◽  
Author(s):  
Juan Luis García Guirao ◽  
H. M. Baskonus ◽  
Ajay Kumar ◽  
M. S. Rawat ◽  
Gulnur Yel
Keyword(s):  
Boussinesq Equation ◽  
Soliton Solutions ◽  
Expansion Method ◽  
Travelling Wave ◽  
Bright Soliton ◽  
Wave Patterns ◽  
Complex Patterns

This paper presents many new complex combined dark-bright soliton solutions obtained with the help of the accurate sine-Gordon expansion method to the B-type Kadomtsev-Petviashvili-Boussinesq equation with binary power order nonlinearity. With the use of some computational programs, we plot many new surfaces of the results obtained in this paper. In addition, we present the interactions between complex travelling wave patterns and their solitons.

A novel ( G ′/ G )-expansion method and its application to the Boussinesq equation

2014 ◽  
Vol 23 (2) ◽  
pp. 020203 ◽  
Author(s):  
Md. Nur Alam ◽  
Md. Ali Akbar ◽  
Syed Tauseef Mohyud-Din
Keyword(s):  
Boussinesq Equation ◽  
Expansion Method
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